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Finding the Third Proportional to 342,483.75 and 739,264.50

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Solution

The third proportional to 342,483.75 and 739,264.50 is: 1,595,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,483.75 : 739,264.50 = 739,264.50 : x
  2. Step 2: Convert to fraction form
    342,483.75/739,264.50 = 739,264.50/x
  3. Step 3: Cross multiply
    342,483.75x = 739,264.50 × 739,264.50
  4. Step 4: Simplify right side
    342,483.75x = 546,512,000,960.25
  5. Step 5: Solve for x
    x = 546,512,000,960.25/342,483.75
  6. Step 6: Final answer
    x = 1,595,731.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.